Answer:
[tex]\Huge\boxed{x=11.8}[/tex]
Step-by-step explanation:
Hello There
cos = adjacent divided by hypotenuse
the adjacent side of the angle that has a measure of 49 is x and the hypotenuse is 18
so
[tex]cos49=\frac{x}{18}[/tex]
once again we want to isolate the variable using inverse operations
to get rid of the 18 we multiply each side by 18
[tex]\frac{x}{18} *=x\\cos49*18=18cos49[/tex]
we're left with
[tex]x=18cos49[/tex]
now we let the calculator do the rest of the work
we end up with
[tex]x=11.80906252[/tex]
our final step would be to round to the nearest tenth
so we can conclude that the x = 11.8
